A023499 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A023499

a(n) = b(n) + d(n), where b(n) = ( (n+1)st Fibonacci number) and d(n) = (n-th number that is 1, 2, or 3, or is not a Lucas number).

2, 4, 6, 10, 14, 21, 30, 44, 67, 102, 158, 248, 393, 627, 1006, 1617, 2605, 4203, 6788, 10970, 17736, 28683, 46395, 75053, 121423, 196449, 317843, 514262, 832074, 1346304, 2178345, 3524615, 5702925, 9227504, 14930392, 24157858

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

LINKS

Table of n, a(n) for n=0..35.

MATHEMATICA

Module[{nn=50, nlu, fib=Fibonacci[Range[2, nn+1]], len}, nlu=Join[{1, 2, 3}, Complement[ Range[4, nn], LucasL[Range[nn]]]]; len=Min[nn, Length[nlu]]; Total/@Thread[{Take[fib, len], Take[nlu, len]}]] (* Harvey P. Dale, Mar 14 2013 *)

CROSSREFS

Sequence in context: A136460 A000065 A237758 * A103445 A001747 A048670

Adjacent sequences: A023496 A023497 A023498 * A023500 A023501 A023502

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved